@article{Sevost’yanov_2009, title={Removal of singularities and analogs of the Sokhotskii–Weierstrass theorem for Q-mappings}, volume={61}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/3007}, abstractNote={We prove that an open discrete <em class="EmphasisTypeItalic ">Q</em>-mapping <span class="InlineEquation" id="IEq1">\( f:D \to \overline {\mathbb{R}^n } \)</span> has a continuous extension to an isolated boundary point if the function <em class="EmphasisTypeItalic ">Q</em>(<em class="EmphasisTypeItalic ">x</em>) has finite mean oscillation or logarithmic singularities of order at most <em class="EmphasisTypeItalic ">n</em> – 1 at this point. Moreover, the extended mapping is open and discrete and is a <em class="EmphasisTypeItalic ">Q</em>-mapping. As a corollary, we obtain an analog of the well-known Sokhotskii–Weierstrass theorem on <em class="EmphasisTypeItalic ">Q</em>-mappings. In particular, we prove that an open discrete <em class="EmphasisTypeItalic ">Q</em>-mapping takes any value infinitely many times in the neighborhood of an essential singularity, except, possibly, for a certain set of capacity zero.}, number={1}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Sevost’yanov, E. A.}, year={2009}, month={Jan.}, pages={116-126} }